BOS: Model-based clustering of multivariate ordinal data relying on a stochastic binary search algorithm
Version 1.0

We design the first univariate probability distribution for ordinal data which strictly respects the ordinal nature of data. More precisely, it relies only on order comparisons between modalities. Contrariwise, most competitors either forget the order information or add a nonexistent distance information. The proposed distribution is obtained by modeling the data generating process which is assumed, from optimality arguments, to be a stochastic binary search algorithm in a sorted table. The resulting distribution is natively governed by two meaningful parameters (position and precision) and has very appealing properties: decrease around the mode, shape tuning from uniformity to a Dirac, identifiability. Moreover, it is easily estimated by an EM algorithm since the path in the stochastic binary search algorithm is missing. Using then the classical latent class assumption, the previous univariate ordinal model is straightforwardly extended to model-based clustering for multivariate ordinal data.

AuthorChristophe Biernacki and Julien Jacques
Date of publication2016-03-07 15:32:47
MaintainerJulien Jacques <julien.jacques@univ-lyon2.fr>
LicenseGPL (>=2)
Version1.0
Package repositoryView on R-Forge
InstallationInstall the latest version of this package by entering the following in R:
install.packages("BOS", repos="http://R-Forge.R-project.org")

Getting started

Package overview

Popular man pages

AERS: French university evaluations
BOS-package: Model-Based Clustering of Multivariate Ordinal Data
clustMultiBOS: Function to cluster multivariate ordinal data
See all...

All man pages Function index File listing

Man pages

AERS: French university evaluations
BOS-package: Model-Based Clustering of Multivariate Ordinal Data
clustMultiBOS: Function to cluster multivariate ordinal data

Functions

AERS Man page
BOS Man page
BOS-package Man page
allej Source code
clustMultiBOS Man page Source code
condprobnolog Source code
dordiem Source code
ordiem Source code
pej Source code
pejp1_ej Source code
pejp1_yjej Source code
pejp1zj1_ej Source code
pejp1zj1_yjej Source code
pyj_ej Source code

Files

DESCRIPTION
NAMESPACE
R
R/ordinal-clustering.R
data
data/AERS.rda
man
man/AERS.Rd
man/BOS-package.Rd
man/clustMultiBOS.Rd
BOS documentation built on May 21, 2017, 2:33 a.m.

Questions? Problems? Suggestions? Tweet to @rdrrHQ or email at ian@mutexlabs.com.

Please suggest features or report bugs in the GitHub issue tracker.

All documentation is copyright its authors; we didn't write any of that.